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Finding the Fourth Proportional to 2,042.38, 3,061.16 and 872.04

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Solution

The fourth proportional to 2,042.38, 3,061.16 and 872.04 is: 1,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.38 : 3,061.16 = 872.04 : x
  2. Step 2: Convert to fraction form
    2,042.38/3,061.16 = 872.04/x
  3. Step 3: Cross multiply
    2,042.38x = 3,061.16 × 872.04
  4. Step 4: Simplify right side
    2,042.38x = 2,669,453.97
  5. Step 5: Solve for x
    x = 2,669,453.97/2,042.38
  6. Step 6: Final answer
    x = 1,307.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.